Course: College Algebra
Topic: Polynomial and Rational Functions
Subtopic: Polynomial Functions II - Division, Remainder Thm, Factor Thm


Continuing our study of polynomial functions, in this lesson we concentrate on two important theorems that will enable us to find roots of the functions which in term will enable us to factor the polynomial completely. The ultimate goal is to turn a long polynomial in general form into a product of linear factors.


By the end of this topic you should know and be prepared to be tested on:


Terms you should be able to define: synthetic division, zero, root, remainder theorem, factor theorem, rational vs. real vs. complex realm

Mini-Lectures and Examples

STUDY: Polynomial Functions and Graphs - Introduction, Real Zeros, Synthetic Division, Remainder Theorem, Factor Theorem

Supplemental Resources (optional)

If you need supplemental tutorial videos with examples relevant to this section go to James Sousa's MathIsPower4U and search for topics:
"Determining the Characteristics of Polynomial Functions"
"Finding the Zeros of Polynomial Functions"

rev. 2020-10-10